Drawing on the poststructuralist notions of the body and affect by Gilles Deleuze, the author will show that bodies and affects in the classroom may be redefined as intensities and energies that "produce" new affective and embodied "connections". What he suggests is that reconceiving teaching and learning as a plane for the production of intense affects that connect bodies can perhaps problematize current educational discourses around "emotional intelligence" and "emotion management." It is important that we acknowledge and work with teachers and students to explore why and under what circumstances teaching and taught bodies are sometimes rendered as "visible" and other times as "specters", as if they do not exist. Despite some limitations, Deleuzian ideas can open up planes where improbable affective and bodily connections can be made. In such planes, affects such as desire, pleasure, joy and even anger can form platforms for social solidarity and the understanding of differences. (Contains 1 note.)